Match the graph with its function using the x-intercepts.
-$y _ { 1 } = 5 ( 4 x - 1 ) ^ { - 1 } , y _ { 2 } = 2 ( 4 x - 1 ) ^ { - 2 }$, and $y _ { 1 }$ exceeds $y _ { 2 }$ by 2
A) $\frac { 3 } { 4 } , \frac { 3 } { 8 }$
B) $- 2 , - \frac { 1 } { 2 }$
C) $- \frac { 1 } { 4 } , 0$
D) $- \frac { 1 } { 4 } , - \frac { 1 } { 8 }$

Question

Quizplus · Accepted Answer

The x-intercepts of the functions are found by setting each function equal to zero. For $y_1 = 5(4x - 1)^{-1}$, there is no x-intercept as it never equals zero. For $y_2 = 2(4x - 1)^{-2}$, similarly, there is no x-intercept. The condition $y_1 - y_2 = 2$ is satisfied for $x = \frac{3}{4}$ and $x = \frac{3}{8}$.

Match the Graph with Its Function Using the X-Intercepts y1=5(4x−1)−1,y2=2(4x−1)−2y _ { 1 } = 5 ( 4 x - 1 ) ^ { - 1 } , y _ { 2 } = 2 ( 4 x - 1 ) ^ { - 2 }y1​=5(4x−1)−1,y2​=2(4x−1)−2

Match the Graph with Its Function Using the X-Intercepts $y _ { 1 } = 5 ( 4 x - 1 ) ^ { - 1 } , y _ { 2 } = 2 ( 4 x - 1 ) ^ { - 2 }$